11011121122122 has 192 divisors, whose sum is σ = 28680412400640. Its totient is φ = 3013792531200.

The previous prime is 11011121122121. The next prime is 11011121122123. The reversal of 11011121122122 is 22122112111011.

It is a happy number.

11011121122122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11011121122121) and next prime (11011121122123).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11011121122095 and 11011121122104.

It is not an unprimeable number, because it can be changed into a prime (11011121122121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26356222 + ... + 26770742.

It is an arithmetic number, because the mean of its divisors is an integer number (149377147920).

Almost surely, 2^{11011121122122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011121122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14340206200320).

11011121122122 is an abundant number, since it is smaller than the sum of its proper divisors (17669291278518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11011121122122 is a wasteful number, since it uses less digits than its factorization.

11011121122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414889 (or 414886 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11011121122122 its reverse (22122112111011), we get a palindrome (33133233233133).

The spelling of 11011121122122 in words is "eleven trillion, eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-two".